How much of each ingredients would you need to make 100 quarts of punch

Mathematics

1 answer:

seraphim [82]4 years ago

8 0

Answer:

20 quarts of each ingredient, i'm assuming because lack of details.

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Solve |5x+30|=10x ......

Orlov [11]

Answer:

Option A

Step-by-step explanation:

We need to solve out ,

$\implies |5x + 30| = 10x$

We can write it as ,

$\implies 5x + 30 = \pm 10x$

On simplyfing further,

$\implies 5x + 30 = 10x \quad or \quad 5x +30=-10x$

On solving the above equation , we will get ,

$\implies \boxed{ x = 6,-2}$

Now we know that the value of modulus is never negative so when we will put x is equal to 2 on the RHS we will get -20 which is not possible . Therefore , the extraneous root is -2 .

Option A is correct .

5 0

3 years ago

What is the factored form of 2x2 + x-3?

Vesnalui [34]

Answer:

Step-by-step explanation:

a = 2, b = 1, c = -3

We need to factor this by finding the product of a and c, then from there find which factors of a * c will either add or subtract to give us b.

a * c = 6 and the factors of 6 and 1 and 6, 2 and 3. Well, 6 - 1 doesn't equal 1 and neither does 6 + 1. So our factors are 3 and 2. In order to combine those to get a 1 (our b), we will subtract 2 from 3 since 3 - 2 = 1. That means that 3 is positive and 2 is negative. Filling in the formula with 3 and 2 in place of 1 looks like this (always remember to put the absolute value of the largest number first):

$2x^2+3x-2x-3=0$

Group the first 2 terms together and the second 2 term together in order to factor:

$(2x^2+3x)-(2x-3)=0$ and factor out what's common in each set of parenthesis.

$x(2x+3)-1(2x+3)=0$

Notice that when we factor out a -1 from the second set of parenthesis, we can distribute it back in to get the equation we started with. We know that factoring by grouping "works" if what is inside both sets of parenthesis is exactly the same. Ours are identical: (2x + 3). That is common now, and can be factored out:

$(2x+3)(x-1)=0$